Form Number F Ratio Classifier

Constituent form ratio(K1+O1)/(M2+S2) with caller independently chosen inclusive tidal-class edges, no table inference. Caller independently establishes units, regime, calibration and applicability; this does not establish design-code compliance, authenticity, operational safety, treatment efficacy or a validated forecast.

Description

A tidal form number compares diurnal with semidiurnal constituent amplitudes.

A tidal form number compares diurnal with semidiurnal constituent amplitudes.^[1]

Classification can use supplied inclusive upper edges rather than an assumed universal label table.

When to use Form Number F Ratio Classifier

Use this tool to calculate or review the supplied observations under the stated rules. Match the observation interval, units, datum, coordinate signs and model regime.

How to use Form Number F Ratio Classifier and understand its results

Match the observation interval, units, datum, coordinate signs and model regime.
Enter k1AmplitudeM, o1AmplitudeM, m2AmplitudeM, s2AmplitudeM, callerInclusiveFormClassUpper, using the field meanings and rules below, then run the tool.
Read tidalFormNumber, callerFormClassIndex. Inspect nested result fields where present, and review unknown records separately from known matches.
Correct any reported input issue and run again. Before using a successful result, check the stated units, signs, reference scope and observation coverage.

Input field	Meaning	Value type	Requirement
k1AmplitudeM	K1 amplitude m	number	Required
o1AmplitudeM	O1 amplitude m	number	Required
m2AmplitudeM	M2 amplitude m	number	Required
s2AmplitudeM	S2 amplitude m	number	Required
callerInclusiveFormClassUpper	Caller inclusive form class upper	list of number	Required

All four amplitudes must be nonnegative and M2+S2 positive. Require a nonempty strictly increasing nonnegative upper-edge list. Return (K1+O1)/(M2+S2) and the zero-based first edge containing it inclusively, or the list length for the overflow class.

F=(K1+O1)/(M2+S2); index=first j with F≤upper_j, else edgeCount

Use the matching field units and the exact boundary, ordering and reference rules above.

Output field	Meaning	Value type
tidalFormNumber	Tidal form number	number
callerFormClassIndex	Caller form class index	number

json

{
  "input": {
    "k1AmplitudeM": 1,
    "o1AmplitudeM": 2,
    "m2AmplitudeM": 2,
    "s2AmplitudeM": 1,
    "callerInclusiveFormClassUpper": [
      0.25,
      1.5,
      3
    ]
  },
  "output": {
    "tidalFormNumber": 1,
    "callerFormClassIndex": 1
  }
}

Limitations and assumptions

The stated observation or model covers only the supplied record and reference regime. It does not fill missing measurements, supply uncertainty estimates or produce a validated forecast.

Missing required fields, unknown fields, wrong types and violated rules return input issues. Numeric values and outputs must be finite. Lists and matrices must be dense, without missing cells. Numeric lists allow at most 10000 entries; ordinary string lists allow at most 128 strings of 128 UTF-16 units each; numeric matrices allow at most 128 rows and 128 columns, subject to narrower requirements above.

Alternative or Complementary methods

For a related step, use Estuarine Circulation Ratio UE Calculator: An estuarine circulation ratio compares surface flow with residual flow over a matched section. For a complementary comparison, use Equilibrium Tide Theoretical Amplitude Calculator: Equilibrium tide height relates a constituent’s tide-generating potential to gravity.

References

Form Number F Ratio Classifier — tool.io

Similar or alternative tools

Estuarine Circulation Ratio UE Calculator
An estuarine circulation ratio compares surface flow with residual flow over a matched section.
Equilibrium Tide Theoretical Amplitude Calculator
Equilibrium tide height relates a constituent’s tide-generating potential to gravity.